Now showing items 1-15 of 15

    • Thumbnail

      A Family of Cyclic Codes Over Finite Chain Rings

      Sabouh, Sanaa Yusuf (the islamic university, 2008)
      Codes over flnite rings have received much attention recently after it was proved that important families of binary non-linear codes are images under a Gray map of linear codes over Z4. A set of n-tuples over a ring R is ...
    • Thumbnail

      A Genaralization of 2-Absorbing Subsemimodule Over Semirings

      Abdalnabi, Ayman Mohammed (الجامعة الإسلامية - غزة, 2017)
      Study Aims:the studyains at we study the 2-absorbing subsemimodules, also we generalize this to the weakly 2-absorbing subsemimodules. Research Methodology: Scientific Methodology The most important Conclusions: 1.We study ...
    • Thumbnail

      Chinese Remainder Theorem and It’s Applications

      Al-qader, Kholoud Khallid Abd (الجامعة الإسلامية - غزة, 2014)
      The Chinese Reminder Theorem is an ancient but important calculation algorithm in modular arithmetic. The Chinese Remainder Theorem enables one to solve simultaneous equations with respect to different moduli in considerable ...
    • Thumbnail

      Compactly Packed Modules Over Noncommutative Rings

      Abu Soawin, Suleiman (الجامعة الإسلامية - غزة, 2016)
      Let R be an associative ring with identity and M be a unitary right R-module. A proper submodule N of M is compactly packed if for each family {Pα}α∈λ of prime submodules of M with N ⊆ Uα∈λ Pα, N ⊆ Pβ for some β ∈ λ. A ...
    • Thumbnail

      Duadic Codes over Finite Commutative Rings

      Al-awar, Ikhlas Ibraheem Diab (الجامعة الإسلامية - غزة, 2014)
      Duadic codes are a generalization of quadratic residue codes. We obtain in this thesis quadratic residue codes over the chain ring F3+uF3; u2 = 0 and then obtain duadic codes for this ring. Also, we give a construction of ...
    • Thumbnail

      Linear Block Codes over the Non Chain Ring Fp+ vFp + v2Fp

      Satariah, Mariam Ibrahim (الجامعة الإسلامية - غزة, 2015)
      Codes over finite rings have been studied in the early 1970. A great deal of attention has been given to codes over finite rings from 1990, because of their new role in algebraic coding theory and their successful application. ...
    • Thumbnail

      Negacyclic and Constacyclic Codes Over Finite Chain Rings

      Abu Dahrouj, Faisal Mohammed (the islamic university, 2008)
      The negashift ν of Z4n is defined as the permeation of Z4n such that ν(a0, a1, ...., ai, ...., an-1)= (-an-1, a0, ...., ai, ....an-2) and negacyclic code of length n over Z4 is defined as a subset C of Z4n such that ν(C) ...
    • Thumbnail

      On Codes over the Rings Fq + uFq + vFq + uvFq

      Yaghi, Ibrahim M. (الجامعة الإسلامية - غزة, 2013)
      Codes over finite rings have been studied in the early 1970’s [4]. A great deal of attention has been given to codes over finite rings from 1990 [20], because of their new role in algebraic coding theory and their successful ...
    • Thumbnail

      On Decoding of Quadratic Residue Codes

      Al-shorbassi, Ramez Zahar Mahmoud (the islamic university, 2010)
      A binary Quadratic Residue(QR) code of length n is an (n, (n+1)/2) cyclic code over GF(2m) with generator polynomial g(x) where m is some integer. The length of this code is a prime number of the form n = 8l + 1 where l ...
    • Thumbnail

      On Even Length Codes Over Finite Rings

      Abed Hamoudeh, Mohammed (the islamic university, 2010)
      Codes over finite rings have been studied in the early 1970. A great deal of attention has been given to codes over finite rings from 1990, because of their new role in algebraic coding theory and their successful application. ...
    • Thumbnail

      On Linear Codes over F2 x F2

      Isleem, Ibtisam Mohammed (the islamic university, 2007)
      A code of length n and size M consist of a set of M vectors of n components. The components being taken from some alphabet set S. So a code C is a set of n-tuples subset of Sn. If S has a ring structure then C is called a ...
    • Thumbnail

      On Primal Compactly Packed Modules

      Mallouh, Ahmed Abed El-Rahman Abu (الجامعة الإسلامية - غزة, 2013)
      Let R be a commutative ring with identity and let M be a unitary R-module. A proper submodule N of M is compactly packed if for each family {Pα}α∈Δ of prime submodules of M with N ⊆ Uα∈Δ Pα, N ⊆ Pβ for some β ∈ Δ. A module ...
    • Thumbnail

      On Quadratic Residue Codes Over Finite Commutative Chain Rings

      Abdallah, Enad H.G. (الجامعة الإسلامية - غزة, 2014)
      Codes over finite rings were initiated in the early 1970s, And they have received much attention after it was proved that important families of binary non-linear codes are images under a Gray map of linear codes over Z4. ...
    • Thumbnail

      On φ - Classes of Modules

      Abu Oda, Al - Hussein Kamal (الجامعة الإسلامية - غزة, 2015)
      Let R be a commutative ring with identity and let M be a unitary R-module. Let S(M) be the set of all submodules of M and φ :S(M)→ S(M) U{Ø} be a function. Let N be a proper submodule of M. We say that N is φ-prime submodule ...
    • Thumbnail

      Skew Cyclic Codes Over Finite Rings

      Abu Jazar, Akram Qasem Mahmoud (الجامعة الإسلامية - غزة, 2014)
      In this thesis we study skew cyclic codes over finite rings. The thesis consists of three parts: In the first part we define skew cyclic codes, determine them over finite rings, and find the relationships between skew ...